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Finding the Fourth Proportional to 8,271.60, 12,410.36 and 3,530.16

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Solution

The fourth proportional to 8,271.60, 12,410.36 and 3,530.16 is: 5,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.60 : 12,410.36 = 3,530.16 : x
  2. Step 2: Convert to fraction form
    8,271.60/12,410.36 = 3,530.16/x
  3. Step 3: Cross multiply
    8,271.60x = 12,410.36 × 3,530.16
  4. Step 4: Simplify right side
    8,271.60x = 43,810,556.46
  5. Step 5: Solve for x
    x = 43,810,556.46/8,271.60
  6. Step 6: Final answer
    x = 5,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.